Self-Averaging Identities for Random Spin Systems

2007/05/21 by Luca de Sanctis, Luca De Sanctis, De Sanctis, Luca +2
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Opinion Dynamics and Social Influence #Quantum many-body systems #Theoretical and Computational Physics #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.0705.2978

26 pages

arxiv created 2007/05/21 · openalex publication_date 2007/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a systematic treatment of self-averaging identities for various spin systems. The method is quite general, basically not relying on the nature of the model, and as a special case recovers the Ghirlanda-Guerra and Aizenman-Contucci identities, which are therefore proven, together with their extension, to be valid in a vaste class of spin models. We use the dilute spin glass as a guiding example.

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